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Finding the Third Proportional to 1,025,205 and 2,395,341

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Solution

The third proportional to 1,025,205 and 2,395,341 is: 5,596,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,205 : 2,395,341 = 2,395,341 : x
  2. Step 2: Convert to fraction form
    1,025,205/2,395,341 = 2,395,341/x
  3. Step 3: Cross multiply
    1,025,205x = 2,395,341 × 2,395,341
  4. Step 4: Simplify right side
    1,025,205x = 5,737,658,506,281
  5. Step 5: Solve for x
    x = 5,737,658,506,281/1,025,205
  6. Step 6: Final answer
    x = 5,596,596.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.